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Nevertheless, the ability to quantify the characteristics of metastable equilibrium reference states as a function of geochemical variables may be of utility in identifying specific pathways in evolution where the resulting proteins are relatively energetically favored.
The geochemical literature abounds with examples of theoretical calculation of the compositions of stable and/or metastable equilibrium reference states as a way to predict the distributions of, and reaction pathways among, minerals and inorganic or organic aqueous species [5, 6].
This approach is similar to the equilibrium reference model for evaporation into a vacuum from a silicate melt that was described by Alexander, which reproduced the measured elemental evaporation rates from chondritic-type melts over a temperature range of 1900 2300 K, for up to 95% mass loss.
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We will present a method that overcomes this difficulty and drives asymptotically system states into a ball centered on the desired non-equilibrium reference.
A longer adjustment time τ means slower atmospheric adjustment toward the quasi-equilibrium reference state, thus the precipitation intensity weakens, leading to weaker instability.
Its most distinctive feature is the use of different parameterizations of equilibrium and reference configurations.
Open image in new window Fig. 3 Effect of contact time on removal of Pb II) Table 2 Comparison of contact time for Pb II) removal No. Adsorbent Equilibrium time References 1 Activated alumina-supported iron oxide 4, 8, 12 and 36 h, corresponding to Pb II) initial concentrations of 0.1, 0.2, 0.4 and 0.8 mM, respectively.
Recent studies asserted the importance of achieving 'energy equilibrium' between the reference standard and each proxy.
For all dimers, the PM6-DH+ PES features a minimum geometry almost identical to the high-level reference equilibrium geometry.
This paper questions whether such method - when applied to a well-posed smooth nonlinear controllable system - always yields a sequence of controllers that successfully tracks a given reference equilibrium trajectory, and an analytic counter-example is provided and thoroughly discussed.
The existence and convergence to the Nash equilibrium point with reference to both user's uplink transmission rate and price is proven.
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